X(373) Centroid of the pedal triangle of the centroid

centroid of the pedal triangle of the centroid

G is the centroid of the triangle ABC.
The pedal triangle of Ce is the triangle whose polygon vertices are the feet of the perpendiculars from Ce to the side lines of triangle ABC. P, triangle center X(373) is the centroid of this pedal triangle.
Working with pedal triangles of a given point is used in other triangle centers too, like X(374), X(375), and X(376).
The barycentric coordinates of this point depend on the lenghts of the sides of the triangle as well as on the angles.